GCD of 204, 722, 94, 954 Calculator

Given Input numbers are 204, 722, 94, 954

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 94

List of positive integer divisors of 94 that divides 94 without a remainder.

1, 2, 47, 94

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Greatest Common Divisior

We found the divisors of 204, 722, 94, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 722, 94, 954 is 2.

Therefore, GCD of numbers 204, 722, 94, 954 is 2

Given Input Data is 204, 722, 94, 954

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 94 is 2 x 47

Prime Factorization of 954 is 2 x 3 x 3 x 53

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(204, 722) = 73644

GCD(204, 722) = ( 204 x 722 ) / 73644

GCD(204, 722) = 147288 / 73644

GCD(204, 722) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 94

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 94) = 94

GCD(2, 94) = ( 2 x 94 ) / 94

GCD(2, 94) = 188 / 94

GCD(2, 94) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 954

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 954) = 954

GCD(2, 954) = ( 2 x 954 ) / 954

GCD(2, 954) = 1908 / 954

GCD(2, 954) = 2

GCD of 204, 722, 94, 954 is 2

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1. What is the GCD of 204, 722, 94, 954?

GCD of 204, 722, 94, 954 is 2

2. Where do I get the detailed procedure to find GCD of 204, 722, 94, 954?

You can find a detailed procedure to find GCD of 204, 722, 94, 954 on our page.

3. How to find GCD of 204, 722, 94, 954 on a calculator?

You can find the GCD of 204, 722, 94, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.